Arithmetic and Geometric Sequence Practice

What is the difference between an arithmetic sequence and a geometric sequence?

• One is the sum of the numbers and one is just a list of numbers.

• One has a common difference and one has a common ratio.

• One you can write an nth term and one you cannot.

• None of these are correct.

The first term in an arithmetic sequence is -8 and the common difference is 14.  What is the 28th term?

• 378

• 1024

• -324

• 370

Determine whether the sequence is arithmetic or geometric and find the next term.

25, 50, 75, 100, ____

• arithmetic 125

• geometric 125

• arithmetic 200

• geometric 200

An arithmetic sequence is a sequence with a common _________.

• difference

• ratio

• absolute value

• domain

What formula would you use to find a term for 6, 24, 42, 60, ...?

• a_n = a₁(r)^n-1

• a_n = a₁ + d(n-1)

The first term in an arithmetic sequence is 142 and the common difference is 55.  What is the 12th term?

• 747

• 605

• 1617

• 802

The first term in a geometric sequence is 160 and the common ratio is 1/2.  What is the 7th term?

• 5

• 2.5

• 10

• 1.25

What kind of sequence is illustrated below?
 400, 200, 100, 50, 25, ...

• Arithmetic

• Geometric

• Neither

Find the common difference:

25, 13, 1, -11, ...

• 12

• -12

• 8

• -8

What is the common ratio of the geometric sequence below?
5, 25, 125, 625...

• 25

• 20

• 5

• 4